The front and rear wings are essential in race cars in order to increase the down-force and enhance the stability of vehicle at high speed. The present work focuses on the computational modeling of NACA 4412 airfoil for front and rear wing of the racing vehicle and assesses its performance characteristics. The effect on wing characteristics in vicinity of ground and tire for varying angle of attack in moving ground frame has been studied. The computation has been carried out using high fidelity computational fluid dynamics model to solve the incompressible Navier-Stokes equations. The front wing has been split into two parts main wing and flap with chord length of 0.3 m and 0.15 m respectively. Similarly, the rear wing was modeled with the chord length 0.3 m and aspect ratio of 1.5. The pressure and velocity flow distribution over the body of the vehicle has been studied for varying angle of attack. An increase is suction pressure was observed at front wing because of near ground proximity which generated the required down-force. This down-force could be further be increased by varying the flap angle to stall angle of attack. It was observed that the front wing with the 0.33h/c, 6° angle of attack at main wing and 15° angle of attack of flap produced the maximum down-force with minimum drag while the rear wing with the 10° angle of attack showcased the optimized performance. The further work involves the comparison of computed flow coefficient with experimental work. The main motive of the work was to support the design project on the development of Amity Racing Vehicle (ARV) for an event, Supra SAE India 2014.